406417320 has 48 divisors (see below), whose sum is σ = 1320857460. Its totient is φ = 108377856.

The previous prime is 406417313. The next prime is 406417321. The reversal of 406417320 is 23714604.

It can be written as a sum of positive squares in 2 ways, for example, as 394181316 + 12236004 = 19854^2 + 3498^2 .

It is not an unprimeable number, because it can be changed into a prime (406417321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 564109 + ... + 564828.

Almost surely, 2^406417320 is an apocalyptic number.

406417320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406417320 is an abundant number, since it is smaller than the sum of its proper divisors (914440140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

406417320 is a wasteful number, since it uses less digits than its factorization.

406417320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128954 (or 1128947 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 406417320 is about 20159.7946418112. The cubic root of 406417320 is about 740.7256820877.

It can be divided in two parts, 40641 and 7320, that added together give a square (47961 = 219²).

The spelling of 406417320 in words is "four hundred six million, four hundred seventeen thousand, three hundred twenty".